Double PN Benchmark for the One-Dimensional Plane Geometry Monoenergetic Neutron Transport Equation with Anisotropic Scatter.
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| Title: | Double PN Benchmark for the One-Dimensional Plane Geometry Monoenergetic Neutron Transport Equation with Anisotropic Scatter. |
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| Authors: | Ganapol, B. D.1 (AUTHOR) ganapol@cowboy.ame.arizona.edu, Mostacci, D.2 (AUTHOR) |
| Source: | Nuclear Science & Engineering. Apr2026, Vol. 200 Issue 4, p766-780. 15p. |
| Subjects: | Neutron transport theory, Plane geometry, Transfer matrix, Fast neutrons, Matrices (Mathematics), Scattering (Physics), Approximation error |
| Abstract: | This presentation concerns the development of yet another benchmark in a series for solution of the linear neutron transport equation, but using the Double PN (DPN) approximation. As more and more numerical and analytical solutions to the linear particle transport equation appear, their verification becomes increasingly important. There are numerous ways of solving the one-dimensional monoenergetic neutron transport equation in plane geometry, where PN and DPN methods play a prominent role. Here, a new method of solution, based on matrix algebra and scaling to avoid overflows and leading to a response matrix solution, is derived and demonstrated for a highly anisotropically scattering medium with a beam source impinging on a scattering and absorbing slab medium. [ABSTRACT FROM AUTHOR] |
| Copyright of Nuclear Science & Engineering is the property of Taylor & Francis Ltd and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) | |
| Database: | Engineering Source |
| FullText | Text: Availability: 0 |
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| Header | DbId: egs DbLabel: Engineering Source An: 192312467 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: Double PN Benchmark for the One-Dimensional Plane Geometry Monoenergetic Neutron Transport Equation with Anisotropic Scatter. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Ganapol%2C+B%2E+D%2E%22">Ganapol, B. D.</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> ganapol@cowboy.ame.arizona.edu</i><br /><searchLink fieldCode="AR" term="%22Mostacci%2C+D%2E%22">Mostacci, D.</searchLink><relatesTo>2</relatesTo> (AUTHOR) – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22Nuclear+Science+%26+Engineering%22">Nuclear Science & Engineering</searchLink>. Apr2026, Vol. 200 Issue 4, p766-780. 15p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Neutron+transport+theory%22">Neutron transport theory</searchLink><br /><searchLink fieldCode="DE" term="%22Plane+geometry%22">Plane geometry</searchLink><br /><searchLink fieldCode="DE" term="%22Transfer+matrix%22">Transfer matrix</searchLink><br /><searchLink fieldCode="DE" term="%22Fast+neutrons%22">Fast neutrons</searchLink><br /><searchLink fieldCode="DE" term="%22Matrices+%28Mathematics%29%22">Matrices (Mathematics)</searchLink><br /><searchLink fieldCode="DE" term="%22Scattering+%28Physics%29%22">Scattering (Physics)</searchLink><br /><searchLink fieldCode="DE" term="%22Approximation+error%22">Approximation error</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: This presentation concerns the development of yet another benchmark in a series for solution of the linear neutron transport equation, but using the Double PN (DPN) approximation. As more and more numerical and analytical solutions to the linear particle transport equation appear, their verification becomes increasingly important. There are numerous ways of solving the one-dimensional monoenergetic neutron transport equation in plane geometry, where PN and DPN methods play a prominent role. Here, a new method of solution, based on matrix algebra and scaling to avoid overflows and leading to a response matrix solution, is derived and demonstrated for a highly anisotropically scattering medium with a beam source impinging on a scattering and absorbing slab medium. [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of Nuclear Science & Engineering is the property of Taylor & Francis Ltd and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.) |
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| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.1080/00295639.2024.2423130 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 15 StartPage: 766 Subjects: – SubjectFull: Neutron transport theory Type: general – SubjectFull: Plane geometry Type: general – SubjectFull: Transfer matrix Type: general – SubjectFull: Fast neutrons Type: general – SubjectFull: Matrices (Mathematics) Type: general – SubjectFull: Scattering (Physics) Type: general – SubjectFull: Approximation error Type: general Titles: – TitleFull: Double PN Benchmark for the One-Dimensional Plane Geometry Monoenergetic Neutron Transport Equation with Anisotropic Scatter. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Ganapol, B. D. – PersonEntity: Name: NameFull: Mostacci, D. IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 04 Text: Apr2026 Type: published Y: 2026 Identifiers: – Type: issn-print Value: 00295639 Numbering: – Type: volume Value: 200 – Type: issue Value: 4 Titles: – TitleFull: Nuclear Science & Engineering Type: main |
| ResultId | 1 |
